How to solve q 92 on the sides and angles of a polygon.?
2 Answers
Hence the number of sides of the convex polygon is
Explanation:
Let the actual number of sides of the polygon be n. So the sum of n interior angles will be
Now if
Hence we can write
As
Hence the number of sides of the convex polygon is
Explanation:
A polygon can be divided into triangles by joining one vertex to all the others, The number of triangles will be:
For example:
In this case:
The polygon is convex which means that the missing angle is not a reflex angle.
Therefore there must be
To find the size of the missing angle:
The sum of the interior angles will be:
The missing angle is